Lohe [1]}, [2]} suggested a nonabelian generalization of the Kuramoto model to the unitary groups \(U(d)\)  as follows: the Lohe model describes the dynamics of \(\lbrace U_i(t)\rbrace _{i=1}^N\subset U(d)\)  as
\(\dot{U}_i U_i^\dagger =iH_i+\frac{\kappa }{2N}\sum _{j=1}^N\left(U_jU_i^\dagger -U_iU_j^\dagger \right),\) 
